Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.6 Solve Exponential and Logarithmic Equations - 7.6 Exercises - Problem Solving - Page 522: 60c

Answer

0.028 cm

Work Step by Step

From part a, we found: $x=-\frac{\ln\frac{I}{I_0}}{\mu}$ Substitute $I=0.3I_0\\\mu=43$ We have: $x=-\frac{\ln\frac{0.3I_0}{I_0}}{43}=-\frac{\ln 0.3}{3.2}\approx 0.028$ cm
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